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On the growth of an algebroid function with radially distributed values

Volume 113 / 2015

Nan Wu, Jian Hua Zheng Annales Polonici Mathematici 113 (2015), 65-80 MSC: Primary 30D10; Secondary 30D20, 30B10, 34M05. DOI: 10.4064/ap113-1-4


We investigate how the growth of an algebroid function could be affected by the distribution of the arguments of its $a$-points in the complex plane. We give estimates of the growth order of an algebroid function with radially distributed values, which are counterparts of results for meromorphic functions with radially distributed values.


  • Nan WuDepartment of Mathematics
    School of Science
    China University of Mining
    and Technology (Beijing)
    100083 Beijing, China
  • Jian Hua ZhengDepartment of Mathematical Sciences
    Tsinghua University
    100084 Beijing, China

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